Statistical properties of the truncated state with random coefficients

In this Letter we introduce the truncated state with random coefficients (TSRC). As the coefficients of the TSRC have in principle no algorithm to produce them, our question is concerned about to what type of properties will characterize the TSRC. A general method to engineer TSRC in the running-wave domain is employed, which includes the errors due to the nonidealities of detectors and photocounts.